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Finding the Fourth Proportional to 710.77, 1,065.88 and 294.43

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Solution

The fourth proportional to 710.77, 1,065.88 and 294.43 is: 441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.77 : 1,065.88 = 294.43 : x
  2. Step 2: Convert to fraction form
    710.77/1,065.88 = 294.43/x
  3. Step 3: Cross multiply
    710.77x = 1,065.88 × 294.43
  4. Step 4: Simplify right side
    710.77x = 313,827.05
  5. Step 5: Solve for x
    x = 313,827.05/710.77
  6. Step 6: Final answer
    x = 441.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.